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Finding the Fourth Proportional to 180,109.46, 270,171.47 and 67,777.85

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Solution

The fourth proportional to 180,109.46, 270,171.47 and 67,777.85 is: 101,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,109.46 : 270,171.47 = 67,777.85 : x
  2. Step 2: Convert to fraction form
    180,109.46/270,171.47 = 67,777.85/x
  3. Step 3: Cross multiply
    180,109.46x = 270,171.47 × 67,777.85
  4. Step 4: Simplify right side
    180,109.46x = 18,311,640,186.53
  5. Step 5: Solve for x
    x = 18,311,640,186.53/180,109.46
  6. Step 6: Final answer
    x = 101,669.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.